Write the product using exponents.3.3.3.3Using exponents, the product is

Answer:

72 Remainder: 0

Step-by-step explanation:

3024 / 42 = 72

Remainder of 0!

Answer:

Step-by-step explanation:

72 Remainder 0

The coordinates of the vertex and the range of the function y = |3 · x + 6| - 4 are (x, y) = (- 2, - 4) and y ≥ - 4, respectively. (Correct choice: B)

In this problem we have an absolute value function of the form y = |a · x + b| + c, of which we need to determine the coordinates of the vertex and the range of the function. The coordinates of the vertex is the point of the function such that:

x-Coordinate

|a · x + b| = 0

a · x + b = 0

x = - b / a

y-Coordinate

y - c = 0

y = c

And the range of the function is:

y ≥ c

If we know that a = 3, b = 6 and c = - 4, then the coordinates of the vertex and the range of the function are, respectively:

Coordinates of the vertex

(x, y) = (- 2, - 4)

Range of the function

y ≥ - 4

To learn more on absolute values: https://brainly.com/question/1301718

#SPJ1

The value of the expression, [tex]17c^{9} d^{4} -2c^{3} d^{9} .3c^{6} d^{-5}[/tex], after simplification with only positive exponents is [tex]11c^{9} d^{4}[/tex].

According to the question,

We have the following expression:

[tex]17c^{9} d^{4} -2c^{3} d^{9} .3c^{6} d^{-5}[/tex]

Now, we know that we will first solve terms in multiplication and we also that if numbers with same base are in multiplication then their powers are added.

So, we will have the following expression:

[tex]17c^{9} d^{4} -6c^{3+6} d^{9-5\\}\\17c^{9} d^{4} -6c^{9} d^{4}[/tex]

Now, they have the same variables so the terms can be easily subtracted.

(More to know: if the variables would have been different in these two terms then they could not have been subtracted.)

[tex]11c^{9} d^{4}[/tex]

Hence, the value of the expression, [tex]17c^{9} d^{4} -2c^{3} d^{9} .3c^{6} d^{-5}[/tex], after simplification with only positive exponents is [tex]11c^{9} d^{4}[/tex].

To know more about positive exponents here

https://brainly.com/question/13595409

#SPJ1

Answer:

y = −209/332x + 644129/332

Step-by-step explanation:

From the figure we notice that the figure B is smaller than figure A, hence the dilation is a reduction.

Now, to find the dilation factor we notice that the right side of figure A has length 6; the same side for figure B has length 2; then we need to find a factor that fullfils:

solving for k we have that:

Therefore the scale factor of the dilation is 1/3

In Step 2 have a mistake in student solution so the option B is correct answer.

In the given question,

A student solved the inequality [tex]\frac{-x+4}{3} > \frac{x+1}{2}[/tex].

We have to find the error in the student solution.

To find the mistake we first solve the give inequality.

The equality is [tex]\frac{-x+4}{3} > \frac{x+1}{2}[/tex]

To solve this equality we firstly equal the denominator by multiplying and divide 2 on left side and 3 on right side.

So [tex]\frac{2}{2}\times\frac{-x+4}{3} > \frac{x+1}{2}\times\frac{3}{3}[/tex]

Now simplifying

[tex]\frac{2(-x+4)}{6} > \frac{3(x+1)}{6}[/tex]

Now simplifying the brackets of numerator ob both side using distributive property.

In Distributive Property: a(b+c)=ab+bc

[tex]\frac{2\times(-x)+2\times4}{6} > \frac{3\times x+3\times1}{6}[/tex]

[tex]\frac{-2x+8}{6} > \frac{3x+3}{6}[/tex]

Since the both side have same numerator. So we can write the inequality as

-2x+8 > 3x+3

Subtract 8 on both side

-2x+8-8 > 3x+3-8

-2x > 3x-5

Subtract 3x on both side

-2x-3x > 3x-5-3x

-5x > -5

Divide by -5 on both side

-5/-5 x > -5/-5

x > 1

Hence the value of x is greater than 1.

Now we see the step on student.

We can see that in step 2 has mistake. In step 2 student doesn't use distributive property to solve the bracket.

Hence, we can say that option 2 is correct.

To learn more about Distributive Property link is here

https://brainly.com/question/5637942

#SPJ1

Correlation coefficient: statistical measure of the strength of the relationship between the relative movements of two variables.

• If a correlation coefficient has an exact value of one, it has a perfect positive relationship between the two variables

• If a correlation coefficient has an exact value of minus one, there is a perfect negative relationship between the two variables.

• Analysts in some fields of study do not consider correlations important until the value surpasses at least 0.8. However, a correlation coefficient with an absolute value of 0.9 or greater would represent a very strong relationship.

Thus, they have a weak correlation.

The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)

Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

Therefore, let's factor the equation 2x² + 25x + 50.

2x² + 25x + 50

The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.

Therefore,

2x² + 20x + 5x + 50

2x(x + 10)+ 5(x + 10)

Therefore,

(2x + 5)(x + 10)

learn more on factoring here: https://brainly.com/question/1863222

#SPJ1

We are given the function below;

PART A

We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum

PART B and C

To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.

From the graph, the black point helps answer part A and part B.

ANSWER: The function's maximum value is f(x)=2.

This is the point where the slope of the graph is equal to zero

ANSWER: The maximum value then occurs at x= -1

We can also solve this by differentiating the function.

Nina will take the shortest time finishing her book.

Division is the opposite of multiplication. If you divide 12 into three equally sized groups, you will get four in each group if the three groups of four sum up to 12, which they do when you multiply. The main goal of division is to count the total number of evenly distributed groups or the total number of people in each group following a fair distribution.

Let's calculate how many pages each person reads in one day:

Then we divide the number of pages of each book by reading speed of the respective person:

Thus Nina will take the shortest time finishing her book.

learn more about division here :

brainly.com/question/21416852

#SPJ4

The thing that I like most about CodeMonkey is that it makes it easier for children to learn computer coding and that it also boost their intelligence.

CodeMonkey is a computer coding educational environment that teaches beginners computer programming concepts and languages. CodeMonkey is designed for students aged 6 to 14.

Students who use critical thinking, problem solving, reasoning, logic, computational, and algorithmic thinking perform better in class. Because these abilities carry over into their daily learning, the skills they develop integrate with core subjects.

Computer programming is the process of carrying out a specific computation, typically by designing and constructing an executable computer program. Programming tasks include analysis, algorithm generation, algorithm accuracy, and resource consumption profiling, and algorithm implementation.

CodeMonkey is a fantastic learning tool for people of all ages! The courses cover the entire curriculum for grades K-8. It is best to start teaching code at a young age. Anyone can learn to code, and it can be enjoyable.

Learn more about computer on:

https://brainly.com/question/24540334

#SPJ1

Given,

To find GCF we will factor constant and variable terms individually,

First factorize 18:

Factors of 9:

Now,

Now GCF of 18,9 is 9.

GCF of

GCF of

Step 1; Complete the table

1. The number of engineers that like science are 266

2. The engineer surveyed the most is Electrical Engineers

3. Pr(mechanical Engineer) is

4. Pr(engineer who liked maths ) is

5. Pr( Engineer who like science or is a chemical engineer) is

Let Pr(engineer like science)=E and Pr(a chemical engineer)=S

The Pr( Engineer who like science or is a chemical engineer) is given as

Hence, we have

6. Pr( Electrical or chemical) is

7. Pr(Mechanical engineer who liked science) is given as

8. Pr(an engineer who liked maths and is an electrical engineer)

Answer:

answer     y=-5/3x+5

Step-by-step explanation:

The slope is decreasing so the slope is negative

Rise is 5 run is 3 so its 5/3 but the slope is negative so its -5/3

Y intercept is located at 0,5 so it equals 5

y=-5/3x+5

The equation of line will be;

⇒ y = - 5/3x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is decreasing.

The rise will be 5.

The run will be 3.

Now,

Since, The equation of line is decreasing.

Hence, The slope of the line is negative.

Here, The rise will be 5.

The run will be 3.

So, The slope = Rise / Run

                      = 5/3

Thus, The slope = - 5/3

So, The equation of line in point-slope form will be;

⇒ y = mx + b

⇒ y = - 5/3x + 5

Thus, The equation of line will be;

⇒ y = - 5/3x + 5

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

21 fluid ounces = 126 teaspoons

Step-by-step explanation:

1 teaspoons is 0.166667 fluid ounces

Now we just have to think 0.166667 * x = 21

21 ounces = 126 teaspoons

Hope this helped :)

Answer: the can contains 126 teaspoons in the can of range juice.

Step-by-step explanation:

given,

no. of teaspoons of orange juice is the call= 5 teaspoons

ounces in the orange juice can= 21 fluid ounces

if 1 ounce = 6 teaspoons

then, 21 ounces= 126 teaspoons.

to know more about conversions,

brainly.com/question/10499702

By using unitary method, it is obtained that

a)  9 painters took 2hours 48 minutes to paint a ware house

b)  9 painters earns 214.2 euros by working 2.8 hours

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, unitary method is used

a) Four painters took  6.3 hours to paint a ware house

    1 painter take [tex]6.3 \times 4[/tex] hours to paint a ware house

    9 painters took [tex]\frac{6.3 \times 4}{9}[/tex] hours to paint a ware house

    9 painters took 2.8 hours to paint a ware house

    9 painters took 2hour + [tex]0.8 \times 60[/tex] minutes to paint a ware house

    9 painters took 2hours 48 minutes to paint a ware house

b) Each painter earns 8.5 euros per hour worked

   Each painter earns 8.5 [tex]\times[/tex] 2.8 euros by working 2.8 hours

   9 painters earns 8.5 [tex]\times[/tex] 2.8 [tex]\times[/tex] 9 euros by working 2.8 hours

    9 painters earns 214.2 euros by working 2.8 hours

To learn more about unitary method, refer to the link -

https://brainly.com/question/24587372

#SPJ1

Answer:

580

Step-by-step explanation:

31(20) + 7(20) -  21(20) +12(20)

620 + 140 -   420 + 240

580                                                              

The corrected form is second arc should be centered at C.

Assuming the goal is to construct a line parallel to AB that passes through given point C.

-Draw a line through C and across AB at an angle creating D.

- With the compass width about half of DC, and center D, draw the first arc to cross both lines.

-Using the same compass width , draw the second arc with center C.

-Then set the compass width to the lower arc (the first arc)

- Move the compass to the second arc. Mark off an arc to make point E

-Draw a straight line through C and E

Thus the line CE will be parallel to line AB

To learn more about geometry refer here

https://brainly.com/question/24375372

#SPJ1

Solution

- To find the minimum values of the functions, we need to find the x-value of the vertex of the quadratic function, and then subsitute this x-value into the function to get its minimum value, while for the quintic equation, we simply apply the fact that it is an odd function. Because of this, the tails of the function move in opposite directions; one towards positive infinity, while the other moves towards negative infinity.

- The formula for finding the x-value of the vertex of a quadratic function is:

- Thus, we can find the x-value of the vertex for the quadratic equation as follows:

- Now that we have the x-value of the vertex of the quadratic equation, we can find its minimum value as follows:

- Thus, the minimum value of the quadratic equation is 1.

- Next, we already know that the quintic equation moves down towards negative infinity. Thus f(x), the quintic equation, has a smaller minimum value

Final Answer

f(x), the quintic equation, has a smaller minimum value

Justin"s heart rate decreased 3 beats per minute for each of next 4 minutes

Let his heart rate be be 1

For the first minutes

1 minute his heart rate was 1 - 3 = -2

This is because the heart rate is decreasing 3 beats per minutes

2minutes later, his heart beat will be -2 -3

-2 - 3 = -5

3 minutes later, his heart beat will be -5 - 3

-5 - 3 = -8

4 minutes later, -8 - 3

-8 - 3 = -11

Change = Final heart beat - initial heart beat / initial heart beat

Change = -11 -2 / -2

Change = -13/-2

Change = 13/2

= 6.5

She is paid an hourly rate plus 10% commission on everything she sells

Total amount she get = Hourly rate + 10% on sale price of the objects

One week she was paid $381.25 for working 15 hours and selling $1,225 worth of books.

Let the hourly wages is x

She paid $381.25 for working 15 hours

for hourly rate divide the amount by number of hours :

The hourly rate is $25.416

Answer : The hourly rate is $25.416

Answer:

FOIL Method! (EXPLAINED BELOW)

Step-by-step explanation:

FOIL MEANS First Out In Last.

For example:

Binomial: (a+b) (a+b)

STEP 1: Multiply the first term of each bracket.

      (a+b) (a+b)

      So, a * a =    [tex]a^{2}[/tex]

      The number would be positive since both terms are positive.

STEP 2: Multiply the outer terms.

      (a+b) (a+b)

      So, a * b = ab

      The number would be positive since both terms are positive.

STEP 3: Multiply the inner terms.

       (a+b) (a+b)

      So, a * b = ab

      The number would be positive since both terms are positive.

STEP 4: Multiply the last terms.

       (a+b) (a+b)

       So, b * b = [tex]b^{2}[/tex]

      The number would be positive since both terms are positive.

STEP 5: Put them together with the appropriate signs.

the given expression is,

4x - 20 = 0

here 4 is the coefficient of variable x

4x = 20

x = 20/4

x = 5

thus, the value of x is 5

The total number of square cardboards that can be placed is 35 square pieces.

Length of the class board = √150dm

Length of the square side = √3 dm

Number of cardboards that can be cut = √150 ÷ √3 = 7.07 ≈ 7

Width of the square = √80 dm

Number of cardboard pieces =  √80 ÷ √3 = 5.16 ≈ 5

Total number of cardboard squares = 7 × 5 = 35 pieces

A square is just a normal quadrilateral because it has four equal sides and four equal 90-degree, /2 radian, or right angles angles.

An alternative explanation is that it is a rectangle with two adjacent sides that are equal in length. It is the only uniform polygon with equal-length diagonals and identically 90° internal, central, and external angles.

To learn more about square visit:

https://brainly.com/question/968982

#SPJ9

represent the days as a variable

days= x

remeber that 80c is the same as $0.80

write an equation that models this situation

solve the equation for x

according to this, after 31.875 days he will have enoght for the hat

Answer:

32 days

Step-by-step explanation:

25.50 / (.80 /day)=  31.875  days <===  so after 32 days he will have enough    

Answer: 7.2

Step-by-step explanation: I took the test and got it correct, I'm just trying to spread the correct answer around.

Answer:

$10134.12

Step-by-step explanation:

Pe^(rt)

8634e^(0.0267)(6)

8634e^(0.1602)

= 10134.12

I hope this helps!

Answer:

D

Step-by-step explanation:

don't forget to follow rate like

Answer:

The second B) - 33

Step-by-step explanation:

-24 - 9 = -33.